文献类型：期刊文献

英文题名：Two-strategy evolutionary games with stochastic adaptive control

作者：Liang, Haili[1];Cui, Ying[2];Zhou, Zhao[3];Ding, Baogang[4]

机构：[1]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai Key Lab Power Stn Automat Technol, Shanghai, Peoples R China;[2]Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai, Peoples R China;[3]East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai, Peoples R China;[4]Shanghai Univ Engn Sci, Sch Urban Railway Transportat, Shanghai, Peoples R China

年份：2022

卷号：36

期号：2

起止页码：251

外文期刊名：INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING

收录：;EI(收录号：20212710589314);WOS:【SCI-EXPANDED(收录号:WOS:000668513900001)】；

基金：National Key R&D Program of China, Grant/Award Number: 2018YFB1701103; National Natural Science Fund for Distinguished Young Scholars, Grant/Award Numbers: 61725301, 61925305; National Natural Science Foundation of China, Grant/Award Numbers: 61703261, 61703164; Fundamental Research Funds for the Central Universities; Junior Fellowship of CAST Advanced S&T Thinktank Program, Grant/Award Number: DXB-ZKQN-2017-028

语种：英文

外文关键词：adaptive control; evolutionary games; stochastic stability; time delay

摘要：We investigate the stochastic stability of replicator dynamics for evolutionary games with multiplicative noises and time delay in this article. We study evolutionary games in infinite well-mixed populations, among which each individual has two strategies, to cooperate or defect, each time when it is matched up with other individuals to play the two-strategy game together. This article is concerned with the extension of the well-known two-strategy evolutionary games to the stochastic case with adaptive control. We analyze the stochastic replicator dynamics with time delays and provide conservative bounds on the strength of noise and the time delay for the almost sure exponential stability of stochastic systems. Finally, numerical simulations based on triple classical game models (snowdrift game, hunt stag game, and prisoner's dilemma game) are given to illustrate the preceding theoretical results.